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Simplifying 34 = 14 + 3z Solving 34 = 14 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 34 + -3z = 14 + 3z + -3z Combine like terms: 3z + -3z = 0 34 + -3z = 14 + 0 34 + -3z = 14 Add '-34' to each side of the equation. 34 + -34 + -3z = 14 + -34 Combine like terms: 34 + -34 = 0 0 + -3z = 14 + -34 -3z = 14 + -34 Combine like terms: 14 + -34 = -20 -3z = -20 Divide each side by '-3'. z = 6.666666667 Simplifying z = 6.666666667
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